Symmetry breaking via internal geometry
Gauge theories commonly employ complex vector-valued fields to reduce symmetry groups through the Higgs mechanism of spontaneous symmetry breaking. The geometry of the internal space V is tacitly assumed to be the metric geometry of some static, nondynamical hermitian metric k. In this paper, we con...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2023 |
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| Summary: | Gauge theories commonly employ complex vector-valued fields to
reduce symmetry groups through the Higgs mechanism of
spontaneous symmetry breaking. The geometry of the internal space
V is tacitly assumed to be the metric geometry of some static,
nondynamical hermitian metric k. In this paper, we consider
G-principal bundle gauge theories, where G is a subgroup of
U(V,k) (the unitary transformations on the internal vector space
V with hermitian metric k) and we consider allowing the
hermitian metric on the internal space V to become an additional
dynamical element of the theory. We find a mechanism for
interpreting the Higgs scalar field as a feature of the geometry
of the internal space while retaining the successful aspects of
the Higgs mechanism and spontaneous symmetry breaking |
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| ISSN: | 0161-1712 1687-0425 |